The motion of electrons inside a ribbon of a semimetal is governed by essentially the same space-time-warping equations as the original mixed-axial gravitational anomaly.
The advance could have practical uses in electronics, similar to how the invention of the transistor led to computer chips.
“This could be opening the door to something new,” said Bernd Gotsmann, an IBM physicist and a co-author of the Nature paper, who said the company was investigating how the anomaly could be exploited for generating electricity out of waste heat and for other uses.
The gravitational anomaly popped out from equations that describe how particles called pions moving at close to the speed of light could decay into gravitons, the fundamental particles that carry the force of gravity.
Usually, the laws of physics prohibit pions from falling apart in this way.
But under Einstein’s theory of general relativity, the curving of space-time can tip the balance to allow this decay to occur.
A pion consists of two smaller pieces: a quark, a building block of protons and neutrons, and an antiquark, the antimatter equivalent of a quark.
Many elementary particles, including quarks and antiquarks, can be thought of as darts that are spinning as they fly through space. They can spin clockwise or they can spin counterclockwise.
Usually, in the decay of pions, the number of clockwise particles would exactly equal the number of counterclockwise particles.
But the anomaly resulting from the warping of space-time can flip a clockwise spin to counterclockwise, or vice versa, with more particles spinning in one direction than the other.
That then circumvents the prohibition, allowing pion-to-gravitons decay to occur.
But that is currently an impossible experiment. Physicists have yet to find a single graviton.
“We would never be able to detect this,” said Karl Landsteiner, one of the authors of the Nature paper and a physicist at the Institute for Theoretical Physics in Spain.
The same equations became of interest to scientists working in solid state physics, studying the electronic properties of materials.
In this Weyl semimetal system explored in the experiment, a difference in temperature is analogous to the warping of space-time, and a magnetic field separates electrons into the opposite spins.
“You can now suddenly use all these concepts in a tabletop experiment,” Dr. Gooth said.
Dr. Landsteiner said the movement of electrons in a semimetal is very much like the behavior of matter at the event horizon of a black hole, the region where the gravitational pull is so strong that not even light can escape.
The anomaly leads to more electrons of one spin moving from the hot side to the cold side of the semimetal ribbon, generating an electric current, which the experiment measured.
“To see this analogy work out is quite exciting,” said Subir Sachdev, a theoretical physicist at Harvard who was not involved with the research. “It’s an important step. It’s a beautiful step.”
The semimetal results could, in turn, improve understanding of black holes, Dr. Landsteiner said.
The experiment is also a success for string theory, a branch of esoteric mathematics that physicists have used to try to tie gravity into the Standard Model, the laws of physics that describe the other forces in the universe. But string theory has been maligned because it makes predictions that cannot be tested.
Here, Dr. Landsteiner said, string theory was used to calculate the expected anomaly. “It puts string theory onto a firm basis as a tool for doing physics, real physics,” he said. “It seems incredible even to me that all this works, falls all together and can be converted into something so down to earth as an electric current.”
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